Reference Lists: Mathematical Articles on Bobbin Lace, Beading, Multiple Fiber Arts, Other
Bobbin Lace, Beading, Multiple Fiber Arts, Other: Alphabetical
- Adams, Colin; Fleming, Thomas; Koegel, Christopher. Brunnian Clothes on
the Runway: Not for the Bashful. American Mathematical Monthly, 111 (November
2004), no. 9, 741--748.
- Ashton, Ted. Fashioning Fine Fractals from Fiber, in Crafting by Concepts, A K Peters (2011), pp. 58--86. (Uses tatting and beading and cross-stitch to create fractals.)
- belcastro, s-m; Yackel, Carolyn. Introduction (survey of the field), in Making Mathematics with Needlework, A K Peters (2007), pp. 1--10.
- belcastro, sarah-marie; Yackel, Carolyn. Introduction to the special issue on mathematics and fibre arts. Journal of Mathematics and the Arts, 2023, Vol. 17, No. 1--2, 1--8.
- belcastro, s-m; Yackel, Carolyn. The Seven-Colored Torus: mathematically interesting and nontrivial to construct, in Homage to a Pied Puzzler, ed. by Ed Pegg, Jr., Alan H. Schoen, and Tom Rodgers, A K Peters (2009), pp. 25--32. (Analysis of discretization for creating knitting and crochet patterns.)
- Dennett, Emily. Stitching Superpermutations, Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture, ed J. Holdener,, E. Torrence, C. Fong, and K. Seaton, 373--376.
- Fisher, Gwen; Mellor, Blake. Using tiling theory to generate angle weaves with beads. Journal of Mathematics and the Arts, Volume 6, Issue 4 (2012), 141--158. (preprint PDF)
- Gerofsky, Susan; Milner, Samuel. Sprang: Exploring an Ancient Form of Textile Weaving Through Handwork, Movement and Poetry, Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture, ed H. Verrill, K. Kattchee, S.L. Gould, and E. Torrence, 573--580.
- Gielen, Alice Yukari. Sliver Fiber Printer: Sequence Coloring on Yarn, Proceedings of Bridges 2025: Mathematics and the Arts, ed. T. Verhoeff, D. Swart, S.L. Gould, and E. Torrence, 415--418.
- Goldstine, Susan; Baker, Ellie. Building a better bracelet: wallpaper patterns in bead crochet. Journal of Mathematics and the Arts, Volume 6, Issue 1 (2012), 5--17.
- Goldstine, Susan. A Survey of Symmetry Samplers, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C.H. Sequin, and K. Fenyvesi,
103--110.
- Goldstine, Susan. Eight Heptagons: The Double Torus Revisited, in Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture, ed. C. Yackel, R. Bosch, E. Torrence, and K. Fenyvesi,
413--416.
- Grishanov, Sergei; Meshkov, Vadim; Omelchenko, Alexander. A Topological Study of Textile Structures. Part I: An Introduction to Topological Methods. Textile Research Journal 79 (2009), no. 8, 702--713. (PDF)
- Grishanov, Sergei; Meshkov, Vadim; Omelchenko, Alexander. A Topological Study of Textile Structures. Part II: Topological Invariants in Application to Textile Structures. Textile Research Journal 79 (2009), no. 9, 822--36. (PDF)
- Grishanov, S.A.; Meshkov, V.R.; Vassiliev, V.A. Recognizing textile structures by finite type invariants. J. Knot Theory Ramifications 18 (2011) no. 2, 209--35.
- Grishanov, S.A.; Vassiliev, V.A. Invariants of Links in 3-Manifolds and Splitting Problem of Textile Structures. J. Knot Theory Ramifications 20 (2011), 345--370. (PDF)
- Grishanov, Sergei; Meshkov, Vadim; Omelchenko, Alexander.
Kauffman-type polynomial invariants of doubly-periodic structures.
J. Knot Theory Ramifications Vol. 16, No. 6 (2007) 779--788.
- Holden, Joshua. The Complexity of Braids, Cables, and Weaves Modeled with Stranded Cellular Automata, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C.H. Sequin, and K. Fenyvesi,
463--466.
- Holden, Joshua; Holden, Lana. Modeling Braids, Cables, and Weaves with Stranded Cellular Automata, in Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture, ed. E. Torrence, B. Torrence, C. Sequin, D. McKenna, K. Fenyvesi, R. Sarhangi,
127--134.
- Holden, Joshua Changing Spots: Using Combinatorics to Count Japanese Braiding Patterns, in
Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture, ed. D. Reimann, , D. Norton, and E. Torrence, 281--284.
- Holden, Joshua. Monsters in the hollow: counting Naiki braid patterns using de Bruijn's Monster theorem. Journal of Mathematics and the Arts, 2023, Vol. 17, No. 1--2, 99--110.
- Irvine, Veronika. Broadening the Palette for Bobbin Lace: A Combinatorial Approach.
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012), pp. 191--198.
- Irvine, Veronika; Ruskey, Frank. Developing a mathematical model for bobbin lace.
Journal of Mathematics and the Arts, Volume 8, Issue 3--4 (2014), 95--110. (arXiv version)
- Irvine, Veronika; Ruskey, Frank. Aspects of Symmetry in Bobbin Lace, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C.H. Sequin, and K. Fenyvesi,
205--212.
- Irvine, Veronika; Biedl, Therese; Kaplan, Craig S. Quasiperiodic bobbin lace patterns, Journal of Mathematics and the Arts, 14:3 (2020), pp. 177--198. (arXiv version)
- Liebscher, U., and Weber, M., Topological Studies of Textiles I. Fundamentals. Textiltechnik 30(1), 58--61 (1980).
- Liebscher, U., and Weber, M., Topological Studies of Textiles II. Applications and Examples. Textiltechnik 30(1), 30(3) 176--178 (1980).
- Lipschütz, Henriette-Sophie; Reitebuch, Ulrich; Polthier, Konrad; Skrodzki, Martin. Braidings from Braids and Weavings, Proceedings of Bridges 2025: Mathematics and the Arts, ed. T. Verhoeff, D. Swart, S.L. Gould, and E. Torrence, 199--206.
- Morton, H.R.; Grishanov, S. Doubly periodic textile patterns. J. Knot Theory Ramifications 18 (2009), 1597--1622. (arXiv version)
- Taalman, Laura; Carolyn Yackel. Wallpaper Patterns for Lattice Designs, in Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture, ed. C. Yackel, R. Bosch, E. Torrence, and K. Fenyvesi,
223--230.
- Yackel, Carolyn. Introduction (survey of the field), in Figuring Fibers, American Mathematical Society (2018), pp. 1--4.
Bobbin Lace, Beading, Multiple Fiber Arts, Other: Chronological
Prior to 2000
- Liebscher, U., and Weber, M., Topological Studies of Textiles I. Fundamentals. Textiltechnik 30(1), 58--61 (1980).
- Liebscher, U., and Weber, M., Topological Studies of Textiles II. Applications and Examples. Textiltechnik 30(1), 30(3) 176--178 (1980).
2000--2009
- Adams, Colin; Fleming, Thomas; Koegel, Christopher. Brunnian Clothes on
the Runway: Not for the Bashful. American Mathematical Monthly, 111 (November
2004), no. 9, 741--748.
- belcastro, s-m; Yackel, Carolyn. Introduction (survey of the field), in Making Mathematics with Needlework, A K Peters (2007), pp. 1--10.
- Grishanov, Sergei; Meshkov, Vadim; Omelchenko, Alexander.
Kauffman-type polynomial invariants of doubly-periodic structures.
J. Knot Theory Ramifications Vol. 16, No. 6 (2007) 779--788.
- belcastro, s-m; Yackel, Carolyn. The Seven-Colored Torus: mathematically interesting and nontrivial to construct, in Homage to a Pied Puzzler, ed. by Ed Pegg, Jr., Alan H. Schoen, and Tom Rodgers, A K Peters (2009), pp. 25--32. (Analysis of discretization for creating knitting and crochet patterns.)
- Grishanov, Sergei; Meshkov, Vadim; Omelchenko, Alexander. A Topological Study of Textile Structures. Part I: An Introduction to Topological Methods. Textile Research Journal 79 (2009), no. 8, 702--713. (PDF)
- Grishanov, Sergei; Meshkov, Vadim; Omelchenko, Alexander. A Topological Study of Textile Structures. Part II: Topological Invariants in Application to Textile Structures. Textile Research Journal 79 (2009), no. 9, 822--36.
- Morton, H.R.; Grishanov, S. Doubly periodic textile patterns. J. Knot Theory Ramifications 18 (2009), 1597--1622. (arXiv version)
2010--2019
- Grishanov, S.A.; Meshkov, V.R.; Vassiliev, V.A. Recognizing textile structures by finite type invariants. J. Knot Theory Ramifications 18 (2011) no. 2, 209--35.
- Grishanov, S.A.; Vassiliev, V.A. Invariants of Links in 3-Manifolds and Splitting Problem of Textile Structures. J. Knot Theory Ramifications 20 (2011), 345--370. (PDF)
- Ashton, Ted. Fashioning Fine Fractals from Fiber, in Crafting by Concepts, A K Peters (2011), pp. 58--86. (Uses tatting and beading and cross-stitch to create fractals.)
- Goldstine, Susan; Baker, Ellie. Building a better bracelet: wallpaper patterns in bead crochet. Journal of Mathematics and the Arts, Volume 6, Issue 1 (2012), 5--17.
- Irvine, Veronika. Broadening the Palette for Bobbin Lace: A Combinatorial Approach.
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012), pp. 191--198.
- Fisher, Gwen; Mellor, Blake. Using tiling theory to generate angle weaves with beads. Journal of Mathematics and the Arts, Volume 6, Issue 4 (2012), 141--158. (preprint PDF)
- Irvine, Veronika; Ruskey, Frank. Developing a mathematical model for bobbin lace.
Journal of Mathematics and the Arts, Volume 8, Issue 3--4 (2014), 95--110. (arXiv version)
- Holden, Joshua; Holden, Lana. Modeling Braids, Cables, and Weaves with Stranded Cellular Automata, in Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture, ed. E. Torrence, B. Torrence, C. Sequin, D. McKenna, K. Fenyvesi, R. Sarhangi,
127--134.
- Goldstine, Susan. A Survey of Symmetry Samplers, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C.H. Sequin, and K. Fenyvesi,
103--110.
- Irvine, Veronika; Ruskey, Frank. Aspects of Symmetry in Bobbin Lace, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C.H. Sequin, and K. Fenyvesi,
205--212.
- Holden, Joshua. The Complexity of Braids, Cables, and Weaves Modeled with Stranded Cellular Automata, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C.H. Sequin, and K. Fenyvesi,
463--466.
- Yackel, Carolyn. Introduction (survey of the field), in Figuring Fibers, American Mathematical Society (2018), pp. 1--4.
2020--2024
- Taalman, Laura; Carolyn Yackel. Wallpaper Patterns for Lattice Designs, in Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture, ed. C. Yackel, R. Bosch, E. Torrence, and K. Fenyvesi,
223--230.
- Goldstine, Susan. Eight Heptagons: The Double Torus Revisited, in Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture, ed. C. Yackel, R. Bosch, E. Torrence, and K. Fenyvesi,
413--416.
- Irvine, Veronika; Biedl, Therese; Kaplan, Craig S. Quasiperiodic bobbin lace patterns, Journal of Mathematics and the Arts, 14:3 (2020), pp. 177--198. (arXiv version)
- Holden, Joshua Changing Spots: Using Combinatorics to Count Japanese Braiding Patterns, in
Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture, ed. D. Reimann, , D. Norton, and E. Torrence, 281--284.
- belcastro, sarah-marie; Yackel, Carolyn. Introduction to the special issue on mathematics and fibre arts. Journal of Mathematics and the Arts, 2023, Vol. 17, No. 1--2, 1--8.
- Holden, Joshua. Monsters in the hollow: counting Naiki braid patterns using de Bruijn's Monster theorem. Journal of Mathematics and the Arts, 2023, Vol. 17, No. 1--2, 99--110.
- Dennett, Emily. Stitching Superpermutations, Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture, ed J. Holdener,, E. Torrence, C. Fong, and K. Seaton, 373--376.
- Gerofsky, Susan; Milner, Samuel. Sprang: Exploring an Ancient Form of Textile Weaving Through Handwork, Movement and Poetry, Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture, ed H. Verrill, K. Kattchee, S.L. Gould, and E. Torrence, 573--580.
2025--
- Lipschütz, Henriette-Sophie; Reitebuch, Ulrich; Polthier, Konrad; Skrodzki, Martin. Braidings from Braids and Weavings, Proceedings of Bridges 2025: Mathematics and the Arts, ed. T. Verhoeff, D. Swart, S.L. Gould, and E. Torrence, 199--206.
- Gielen, Alice Yukari. Sliver Fiber Printer: Sequence Coloring on Yarn, Proceedings of Bridges 2025: Mathematics and the Arts, ed. T. Verhoeff, D. Swart, S.L. Gould, and E. Torrence, 415--418.